This chapter contains sections titled: The Fourier Transform Continuous Versus Discrete Transforms Some Common Transforms The Laplace Transform Convergence Conditions Why Transforms Are Useful Fields of Application The Hartley Transform The Fast Fourier Transform The Fast Hartley Algorithm The Mellin Transform The Hilbert Transform Multidimensional Transforms The Hankel Transform The Abel Transform Tomography and the Radon Transform The Walsh Transform The z Transform Convolution Summary